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The the coefficient of in each of the following is ____,[[2]],[[3]],[[4]].

i)

ii)

iii)

iv)

see full answer

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Detailed Solution

Concept-The problem states that we have to find a coefficient of

under a given polynomial. So to do this, you need to know that given an algebraic expression like

a x^{3} + b x^{2} + cx + d

, the coefficient for

is a number or constant multiplied by the prefix .
i)

,
The above equation can also be written as,

Here, 1 is multiplied with

,
Hence, the coefficient of

is 1.
ii) Given

Which can be written as,

So, the coefficient of

is -1.
iii)

So, here we can see that

is multiplied with

, so therefore, we can say that the coefficient of

.
iv)

Now in this expression, there is no

term, so the coefficient is 0.
So, the coefficients respectively are 1, -1,

, 0
Hence, the answer is 1,-1,

, 0.

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